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60° or ACB
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25 Sep 2018, 04:07
25 Sep 2018, 04:07
1
Expert Reply
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Question Stats:
67% (00:49) correct
32% (00:42) wrong based on 56 sessions
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triangle.jpg [ 5.29 KiB | Viewed 2276 times ]
\(\overline{AC} > \overline{BC} > \overline{AB}\)
Quantity A |
Quantity B |
\(60°\) |
\(\angle ACB\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: 60° or ACB
[#permalink]
08 Oct 2018, 07:15
08 Oct 2018, 07:15
1
Carcass wrote:
Attachment:
triangle.jpg
\(\overline{AC} > \overline{BC} > \overline{AB}\)
Quantity A |
Quantity B |
\(60°\) |
\(\angle ACB\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
We know the angle of the greatest side is greatest,
SO ,\(\angle ABC > \angle BAC > \angle ACB\)
Now the triangle cannot be equilateral as all sides are not equal.
therefore \(\angle ACB\)cannot be 60°
If \(\angle ACB\)= 61°
then \(\angle BAC + \angle ABC\) = 119°, but this cannot be possible because either angle cannot be \(<\)then \(\angle ACB\)
Therefore \(\angle ACB <\) 60°
gmatclubot
Re: 60° or ACB [#permalink]
08 Oct 2018, 07:15
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